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Finding the Fourth Proportional to 533.59, 800.63 and 289.82

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Solution

The fourth proportional to 533.59, 800.63 and 289.82 is: 434.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.59 : 800.63 = 289.82 : x
  2. Step 2: Convert to fraction form
    533.59/800.63 = 289.82/x
  3. Step 3: Cross multiply
    533.59x = 800.63 × 289.82
  4. Step 4: Simplify right side
    533.59x = 232,037.14
  5. Step 5: Solve for x
    x = 232,037.14/533.59
  6. Step 6: Final answer
    x = 434.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.